A singular-perturbed two-phase Stefan problem

被引：6
|
作者：
Struckmeier, J [1 ]
Unterreiter, A [1 ]
机构：
[1] Univ Kaiserslautern, Dept Math, D-67653 Kaiserslautern, Germany
来源：
APPLIED MATHEMATICS LETTERS | 2001年 / 14卷 / 02期
关键词：
singularly perturbed parabolic equation; Stefan problem; slow diffusion; interface condition; boundary layer; front-tracking method;
D O I：
10.1016/S0893-9659(00)00139-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic behavior of a singular-perturbed two-phase Stefan problem due to slow diffusion in one of the two phases is investigated. In the limit, the model equations reduce to a one-phase Stefan problem. A boundary layer at the moving interface makes it necessary to use a corrected interface condition obtained from matched asymptotic expansions. The approach is validated by numerical experiments using a front-tracking method. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：217 / 222
页数：6
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